Question

How do you convert the polar point `(2,pi/4)` into rectangular form?

Answer 1

`(sqrt2,sqrt2)`

Explanation:

To convert from `color(blue)"polar to rectangular form"`

That is `(r,theta)to(x,y)`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a /a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))`

here r = 2 and `theta=pi/4`

`rArrx=2cos(pi/4)=2xx1/sqrt2=(2sqrt2)/2=sqrt2`

and `y=2sin(pi/4)=2xx1/sqrt2=sqrt2`

`rArr(2,pi/4)to(sqrt2,sqrt2)`